110011001100000 has 2304 divisors, whose sum is σ = 497781287958528. Its totient is φ = 20528640000000.

The previous prime is 110011001099897. The next prime is 110011001100001. The reversal of 110011001100000 is 1100110011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011001100001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11111095050 + ... + 11111104950.

It is an arithmetic number, because the mean of its divisors is an integer number (216050906232).

Almost surely, 2^{110011001100000} is an apocalyptic number.

110011001100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110011001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248890643979264).

110011001100000 is an abundant number, since it is smaller than the sum of its proper divisors (387770286858528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110011001100000 is a wasteful number, since it uses less digits than its factorization.

110011001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10007 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110011001100000 its reverse (1100110011), we get a palindrome (110012101210011).

110011001100000 divided by its reverse (1100110011) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 11001 and 1001100000, that added together give a palindrome (1001111001).

The spelling of 110011001100000 in words is "one hundred ten trillion, eleven billion, one million, one hundred thousand".